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75417121716664 = 23713429532411821
BaseRepresentation
bin10001001001011101101010…
…101111111111100110111000
3100220000210202212211120222211
4101021131222233333212320
534341113231124413124
6424222051502024504
721612464403341410
oct2111355257774670
9326023685746884
1075417121716664
11220372490a8142
128560415578134
133310a5b6a7aa0
14148a2cb2d5640
158abb8bd2be94
hex44976abff9b8

75417121716664 has 64 divisors (see below), whose sum is σ = 174043635675840. Its totient is φ = 29834637880320.

The previous prime is 75417121716653. The next prime is 75417121716691. The reversal of 75417121716664 is 46661712171457.

It is a happy number.

It is a super-2 number, since 2×754171217166642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75417121716599 and 75417121716608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30063874 + ... + 32475694.

It is an arithmetic number, because the mean of its divisors is an integer number (2719431807435).

Almost surely, 275417121716664 is an apocalyptic number.

It is an amenable number.

75417121716664 is an abundant number, since it is smaller than the sum of its proper divisors (98626513959176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75417121716664 is a wasteful number, since it uses less digits than its factorization.

75417121716664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454800 (or 2454796 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 58.

The spelling of 75417121716664 in words is "seventy-five trillion, four hundred seventeen billion, one hundred twenty-one million, seven hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 42953 85906 171812 300671 343624 558389 601342 1116778 1202684 2233556 2405368 2411821 3908723 4467112 4823642 7817446 9647284 15634892 16882747 19294568 31269784 31353673 33765494 62707346 67530988 125414692 135061976 219475711 250829384 438951422 877902844 1755805688 103594947413 207189894826 414379789652 725164631891 828759579304 1346734316369 1450329263782 2693468632738 2900658527564 5386937265476 5801317055128 9427140214583 10773874530952 18854280429166 37708560858332 75417121716664